Invitation To Q Series An From Jacobis Triple Product Identity To Ramanujans Most Beautiful Identity
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An Invitation to Q-series
Author | : Hei-Chi Chan |
Publisher | : World Scientific |
Total Pages | : 237 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9814343846 |
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The aim of this lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers–Ramanujan continued fraction — a result that convinced G H Hardy that Ramanujan was a “mathematician of the highest class”, and (2) what G H Hardy called Ramanujan's “Most Beautiful Identity”. This book covers a range of related results, such as several proofs of the famous Rogers–Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.
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